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  • 26-05-2022
  • Mathematics
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Solve x^2 - 3x + 5 = 0.

Solve x2 3x 5 0 class=

Respuesta :

WonderlandWanderer
WonderlandWanderer WonderlandWanderer
  • 26-05-2022

Answer: A

Step-by-step explanation:

x^2 - 3x + 5 = 0 - quadratic equation

Standard quadratic equation form: a^2 + bx + c = 0

  • Here a = 1, b = -3, c = 5

  • Discriminant formula: D = b^2 - 4ac

D = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)

  • x1 = (-b - sqrt(D)) / (2*a)
  • x2 = (-b + sqrt(D)) / (2*a)

x1 = (3 - sqrt(-11)) / 2

x2 = (3 + sqrt(-11)) / 2

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